From the diagram depicted, G. 55 kg 36 kg 36 kg 5 m +1+ 4m 7 m 50 kg Determine the magnitude of the weight of each traffic signal, if each signal has a mass of 36 kg, and determine the magnitude of the weight of the member OC if it has a mass of 50 kg. Express your answer in Newtons
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- A physics student of mass 43.0 kg is standing at the edge of theflat roof of a building, 12.0 m above the sidewalk. An unfriendly dog isrunning across the roof toward her. Next to her is a large wheel mountedon a horizontal axle at its center. The wheel, used to lift objects from theground to the roof, has a light crank attached to it and a light rope wrappedaround it; the free end of the rope hangs over the edge of the roof. Thestudent grabs the end of the rope and steps off the roof. If the wheel hasradius 0.300 m and a moment of inertia of 9.60 kg . m2 for rotation aboutthe axle, how long does it take her to reach the sidewalk, and how fast willshe be moving just before she lands? Ignore friction in the axle.The 18 000-kg F-35B uses thrust vectoring to allow it to take off vertically. In one maneuver, the pilot reaches the top of her static hover at 200 m. The combined thrust and lift force on the airplane applied at the end of the static hover can be expressed as F = (44t + 2500t2)i + (250t2 + t + 176 580)j, where F and t are expressed in newtons and seconds, respectively. Determine how long it will take the airplane to reach a cruising speed of 1000 km/hr (cruising speed is defined to be in the x-direction only).Engineering dynamics 1. dtermine the speed 2. determine the tension T is the mass is 10lbs
- Students are given two spherical balls made of different materials, but of identical mass and diameter to experiment with. Each ball is dropped from an initial height, h0. The “sad ball” comes to rest without visibly bouncing when it strikes the tabletop. The “happy ball” bounces up to a final height h, where h< h0 A fellow student wants to use one of the balls in a carnival game where cups are knocked over by a thrown ball. Which ball should they use, happy or sad? Why?Dancers experience large forces associatedwith the jumps they make. For example, when a dancer landsafter a vertical jump, the force exerted on the head by the neck mustexceed the head’s weight by enough to cause the head to slow down andcome to rest. The head is about 9.4% of a typical person’s mass. Videoanalysis of a 65 kg dancer landing after a vertical jump shows that herhead decelerates from 4.0 m>s to rest in a time of 0.20 s. Compared with the force her neck exerts on her head during the landing, the force her head exerts on her neck is (a) the same; (b) greater; (c) smaller; (d) greater during the first half of the landing and smaller during the second half of the landing.To use the concept of conservation of energy on a system of particles to determine key characteristics about the mechanics of the system, such as velocity and position. The 3.45 kg cols lar hown below is attached dto a spring an released from rest at A. The collar then travels downward a distance of y = 1.90 m . The spring has a spring constant of k = 22.5 N/m . The distance a is given as 1.10 m. The datum for gravitational potential energy is set at the horizontal line through A and B. Determine the magnitude of the velocity of the collar at C when the effects of friction are neglected. The spring is initially unstretched when the collar is at A. Determine the magnitude of the average friction force exerted on the collar when the velocity of the collar at C is 3.66 m/s . The spring is initially unstretched when the collar is at A. Determine the magnitude of the…
- 13. An object (at earth) at rest with a mass of 3kg is being dropped 3m above the spring whose constant is 10N/mm. If the spring has to stopped the falling object, determine the magnitude of deflection of the spring right after the stoppage. Assume no energy loss during operation. Derive with the formula below, show the cancellation, explain the step by step and DRAW a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.The ace pilot, Wash, attempts to put the ship Serenity (50,000 kg) in orbit at an altitude of 400 km around a planet (called Haven), which is about the same size as the Earth (D = 12,800 km). He has slowed to an approach velocity of 2 km/s. (recall: G = 6.67 x10-11 N m2 kg-2) Unfortunately, on approach, Serenity’s engines fail and she begins to plummet towards the surface. If the ship accelerates at 1.8g, what is the mass of the planet? What would the acceleration of the ship be at 350 km? Is a constant acceleration safe to assume? Assume that the average acceleration over the 50 km, what is the velocity of Serenity at the height of 350-km? Upon entry, the ship hits the atmosphere at 350 km (with a density of 0.1 kg m-3). The ship slows to a terminal velocity of 1550 m/s. How big is the heat shield that slows the ship? How quickly does the ship slow (ignore gravity)?F = (128)(s+1)N (to right) and Va = 1.8 m/s (to right) Every block is 25 kg.
- A circular tank of diameter 3 m contains water up to a height of 4 m. The tank is provided with an orifice of diameter of 0.4 m at the bottom. Find the time taken by water to fall from 4 m to 2m. Take Cd= 0.60include your free body diagrama.84.7 seconds b.47.8 seconds c.24.8 seconds d.43.8 seconds13.12 Fluid A is found to have a surface tension of 0.080 N m−1, a density of 1.2 × 103 kg m−3 and a contact angle of 70° with dry glass. Fluid B is found to have a surface tension of 0.100 N m−1, a density of 3.1 × 103 kg m−3 and a contact angle of 110° with dry glass. A glass capillary tube with an inner radius 1 mm is lowered into a container of fluid A and an identical capillary tube is lowered into a flask of fluid B. To what height above (or below) the fluid surface will fluids A and B rise in their respective capillary tubes?Consider beam ABC of the seesaw to be a slender rod with a mass of 3kg. (Hint: Irod = mL2/12) One day, clumsy Goofy got tripped and lost control of the 0.6kg ball he was playing with. The ball hit the end A of the beam ABC that was initially at rest. Just before impact, the velocity of the ball is 8m/s directed 75 degrees from the horizontal as indicated. Note: Point G is the centroid of the beam. 1. Just after impact, the vertical component of the velocity of end C of the beam is 4 m/s upward. Which of the following best approximates the angular velocity of the beam ABC just after impact? 2. Just after impact, the ball bounces purely vertically. Which of the following best approximates the magnitude of the velocity of the ball just after impact? 3. Which of the following best approximates the coefficient of restitution between the ball and the beam? 4. If the ball was in contact with the beam for 0.002 s, which of the following best approximates the magnitude of the reaction force…